تقرير
Equi-isoclinic subspaces from symmetry
| العنوان: | Equi-isoclinic subspaces from symmetry |
|---|---|
| المؤلفون: | Fickus, Matthew, Iverson, Joseph W., Jasper, John, Mixon, Dustin G. |
| سنة النشر: | 2024 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Combinatorics, Computer Science - Information Theory, Mathematics - Functional Analysis, Mathematics - Group Theory |
| الوصف: | We describe a flexible technique that constructs tight fusion frames with prescribed transitive symmetry. Applying this technique with representations of the symmetric and alternating groups, we obtain several new infinite families of equi-isoclinic tight fusion frames, each with the remarkable property that its automorphism group is either $S_n$ or $A_n$. These ensembles are optimal packings for Grassmannian space equipped with spectral distance, and as such, they find applications in block compressed sensing. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2406.19542 |
| رقم الأكسشن: | edsarx.2406.19542 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |